University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

122

Pages:

1
Author:

JUnitilv

Workshop #20 1. Write the imaginary number in simpliﬁed form (a) √ −16 (b) √ −10 2. Divide and write the expression in standard form. Assume a and b are real numbers which are not both zero. 7 2−i 1 (b) 3 + 4i 2 + 9i 2 − 9i 1 (d) a + bi (a) (c) √ 1 3 3. Let ω = − + i. Compute the following 2 2 ω ω2 ω3 = = = − 12 + √ 3 2 i ω4 ω5 ω6 = = = ω7 ω8 ω9 = = = Use the pattern to ﬁnd ω 33 , ω 97 and ω 1246 4. Use the square root property to solve (a) x2 = 9 (c) (x + 3)2 = 4 (b) (x − 2)2 = 9 (d) (x − 1)2 − 3 = 0 5. Fill in the blank to make the following equations true (a) x2 + 6x + = (x + 3)2 2 (b) x + 3x + = 3 x+ 2 2 6. What number could you add to both sides of the following equations to make the left hand side a perfect square? (a) x2 + 6x = 1 (b) x2 + 3x = 2 (c) x2 + 5x = 1 7. Complete the square to solve. (a) x2 + 2x = 4 (b) x2 + 4x = 5 5x − 1 = x2 −3 (d) x2 − 14x + 50 = 0 (c) 8. Suppose that m is a real number. For each of the following solve for x by completing the square (a) x2 + 4x + m = 0 (b) x2 + mx + 1 = 0